3 years ago

How is 81^1/4 is 3?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

6 0

Answer:

$\sqrt[4]{81} = {( {3}^{4}) }^{ \frac{1}{4} }$

Step-by-step explanation:

it's obvious that 3·3·3·3=81

or you can do the prime factorization of 81

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3 years ago

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Read 2 more answers

The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round answer to nearest ten

leonid [27]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ V=108\pi \\ h=4 \end{cases}\implies 108\pi =\cfrac{\pi r^2(4)}{3}\implies 324\pi =4\pi r^2 \\\\\\ \cfrac{324\pi }{4\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies 9=r$